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Simplifying 6x + 7(-3x + -5) = -48 + -2x Reorder the terms: 6x + 7(-5 + -3x) = -48 + -2x 6x + (-5 * 7 + -3x * 7) = -48 + -2x 6x + (-35 + -21x) = -48 + -2x Reorder the terms: -35 + 6x + -21x = -48 + -2x Combine like terms: 6x + -21x = -15x -35 + -15x = -48 + -2x Solving -35 + -15x = -48 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -35 + -15x + 2x = -48 + -2x + 2x Combine like terms: -15x + 2x = -13x -35 + -13x = -48 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + -13x = -48 + 0 -35 + -13x = -48 Add '35' to each side of the equation. -35 + 35 + -13x = -48 + 35 Combine like terms: -35 + 35 = 0 0 + -13x = -48 + 35 -13x = -48 + 35 Combine like terms: -48 + 35 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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